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34010101431 = 325371300003
BaseRepresentation
bin11111101011001010…
…001111011010110111
310020210020000011101100
4133223022033122313
51024123041221211
623342442301143
72312542043445
oct375312173267
9106706004340
1034010101431
11134728a7649
126711ab77b3
133290112597
141908c6bb95
15d40be7156
hex7eb28f6b7

34010101431 has 12 divisors (see below), whose sum is σ = 50052602808. Its totient is φ = 22245600624.

The previous prime is 34010101397. The next prime is 34010101487. The reversal of 34010101431 is 13410101043.

It is not a de Polignac number, because 34010101431 - 214 = 34010085047 is a prime.

It is a super-2 number, since 2×340101014312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35649525 + ... + 35650478.

It is an arithmetic number, because the mean of its divisors is an integer number (4171050234).

Almost surely, 234010101431 is an apocalyptic number.

34010101431 is a deficient number, since it is larger than the sum of its proper divisors (16042501377).

34010101431 is a wasteful number, since it uses less digits than its factorization.

34010101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71300062 (or 71300059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 34010101431 its reverse (13410101043), we get a palindrome (47420202474).

The spelling of 34010101431 in words is "thirty-four billion, ten million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 3 9 53 159 477 71300003 213900009 641700027 3778900159 11336700477 34010101431